What is the Greatest Common Factor of 40082 and 40100?

Greatest common factor (GCF) of 40082 and 40100 is 2.

GCF(40082,40100) = 2

We will now calculate the prime factors of 40082 and 40100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40082 and 40100.

How to find the GCF of 40082 and 40100?

We will first find the prime factorization of 40082 and 40100. After we will calculate the factors of 40082 and 40100 and find the biggest common factor number .

Step-1: Prime Factorization of 40082

Prime factors of 40082 are 2, 7, 409. Prime factorization of 40082 in exponential form is:

40082 = 2¹ × 7² × 409¹

Step-2: Prime Factorization of 40100

Prime factors of 40100 are 2, 5, 401. Prime factorization of 40100 in exponential form is:

40100 = 2² × 5² × 401¹

Step-3: Factors of 40082

List of positive integer factors of 40082 that divides 40082 without a remainder.

1, 2, 7, 14, 49, 98, 409, 818, 2863, 5726, 20041

Step-4: Factors of 40100

List of positive integer factors of 40100 that divides 40082 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 401, 802, 1604, 2005, 4010, 8020, 10025, 20050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40082 and 40100. The biggest common factor number is the GCF number.
So the greatest common factor 40082 and 40100 is 2.

Also check out the Least Common Multiple of 40082 and 40100